Question

Two coherent light sources of intensity ratio 'n' are employed in an interference experiment. The ratio of the intensities of the maxima and minima in the interference pattern is (I₁ > I₂).

Options

• `((sqrt"n" + 1)/(sqrt"n" - 1))^2`

• `("n + 1")/("n - 1")`

• `(("n + 1")/("n - 1"))^2`

• `(sqrt"n" + 1)/(sqrt"n" - 1)`

Answer 1

`((sqrt"n" + 1)/(sqrt"n" - 1))^2`

Explanation:

`"I"_1/"I"_2 = "n" = ("a"_1)^2/("a"_2)^2` = n

`therefore "a"_1/"a"_2 = sqrt"n"`

`("a"_1 + "a"_2)/("a"_1 - "a"_2) = (sqrt"n" + 1)/(sqrt"n" - 1)`

`(("a"_1 + "a"_2)/("a"_1 - "a"_2))^2 = ((sqrt"n" + 1)/(sqrt"n" - 1))^2`